Car inspection: Of all the registered automobiles in Colorado, 8% fail the state emissions test. Twelve automobiles are selected at random to undergo an emissions test. 1. Find the probability that exactly three of them fail the test. 2. Find the probability that fewer than three of them fail the test. 3. Find the probability that more than two of them fail the test.

Q: Let X be a random variable such that E(X²) a. V(3x-3) b. E(3x-3) = 58 and V(X) = 40. Compute

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A: Please find screenshot below.

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A: It is given that  Mean, μ = 218.6 Standard deviation, σ = 33.6

Q: Consider the 12 weeks of demand in the following table. Calculate the CMA for Weeks 2 through 11.…

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A: Given information: The information about multiple linear regression model is given.

Q: ort the intercept and slope estimates:

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Q: According to Beautiful Bride magazine, the average age of a groom is now 26.2 years.  A sample of 16…

A: given data claim  μ = 26.2n = 16x¯ = 26.6s = 5.3test statistic(t=?)

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Q: Normal, Skewed, Uniform Uniform, Bimodal, Skewed Normal, Uniform, Bimodal O Normal, Bimodal, Uniform

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A: Given data Q1 = 8 Q3 = 11.5

Q: In your sock drawer you have 5 blue, 5 gray, and 2 black socks. Half asleep one morning you grab 2…

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Q: Given the correlation coefficient 0.794 and the linear regression equation ŷ = 16.4 + 1.58x, compute…

A: Given,y^=16.4+1.58xand correlation coefficient(r)=0.794

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A: Given the density function(f(x)) of X;f(x)=kx4,x>10,x≤1

Q: Our sample size is n=25 for a quality of life (QOL) measurement from a population with a normal…

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Q: • Σ₁ (4X₁+1) [ 5(X₁ +2Y₁) ²i = 1

A: Here, we need to write the given expressions in expanded form.

Q: Check here for instructional material to complete this problem. In response to rising concerns about…

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Q: Problem 7: Exercise 3.12 in the textbook, page 92 An investment firm offers its customers municipal…

A: Note: According to Bartleby guidelines expert solve only one question and maximum 3 subpart of the…

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A: 10 missile sites 4 - actually operating 6 - not operating   select 4 at random

Q: Scores on an exam follow an approximately Normal distribution with a mean of 76.4 and a standard…

A: Given: μ = 76.4 σ = 6.1 Formula Used: Z-score = X-μσ

Q: A researcher wishes to be 95% confident that her estimate of the true proportion of individuals who…

A: Suppose p is the true proportion of individuals who travel overseas.

Q: A group of adult males has foot lengths with a mean of 27.93 cm and a standard deviation of 1.24 cm.…

A: given dataμ = 27.93σ = 1.24range rule of thumbusual value falls within 2σ of μ

Q: We're All Nuts, Inc. sells bags of mixed nuts that are advertised to contain 14.5 oz. of nuts. A…

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Q: A box contains 5 white,2 red and 2 black balls. If 3 are drawn in succession Which is the…

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Q: Below, n is the sample size, p is the population proportion and p is the sample proportion. Use the…

A: sample size (n) = 101 population proportion (p) = 0.24 sample proportion  = (p^) p(p^<0.22) = ?

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Q: Which type of t-test is best for the following variables:(a) Test scores of Section A51 at start of…

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A: To create stem and leaf plot, we represent the left term as stem and right term as leaf.

Q: The CDF of a random variable is given below. 3 .26 X F(x) 1 .08 Determine: P(X≤4.5) 2 .15 4 .43 5…

A: Given that  Cumulative distribution function of X is  X 1 2 3 4 5 6 7 8 F(X) 0.08 0.15 0.26…

Q: The dotplot shows how many times a computer was used daily at a public library during a 30-day…

A: given data number of observations n = 30we had given dotplot.

Q: If P(A) = 0.2, P (B) = 0.4 and P (A |B)) = 0.1 Compute P(AUB) Enter your answer with two decimal…

A: Given,P(A) = 0.2P(B) = 0.4P(A|B) = 0.1

Q: A manufacturing process produces a critical part of average length 110 millimeters, with a standard…

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Q: If a year has a rainfall less than 100mm, does that mean it is an usually dry year?    d. What…

A: It is given that  Mean, μ = 137 Standard deviation, σ = 69

Q: A survey of 800 women shoppers found that 15% of them shop on impulse.  What is the 95% confidence…

A: n = 800p^ = 0.1595% CI for p = ?

Q: 2. A hospital is asked by an auditor to confirm that its billing error rate is less than 10% for a…

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Q: Check here for instructional material to complete this problem. n₂ The variable df is defined to be…

A: Give that  The variable df is defined as smaller of (n1-1) and (n2-1) Here, n1 = 184  and n2 = 193…

Q: Listed below are numbers of Internet users per 100 people and numbers of scientific award winners…

A: Given: n = 6 α = 0.01 Formula Used: Correlation coefficient r = n∑XY-∑X∑Yn∑X2-∑X2n∑Y2-∑Y2…

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Q: 2.11 Convert the distribution obtained in the preceding ex- ercise into a cumulative "less than or…

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Q: QUESTION 1 American-Made Cars: Complete the relative frequency table from the frequency table for…

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Q: Find the standard deviation of the following data. Round your answer to one decimal place. x 88 99…

A: x p(x) x*p(x) x2 *p(x) 8 0.10 0.8 6.4 9 0.20 1.8 16.2 10 0.10 1.1 11 11 0.20 2.2…

Q: sess the accuracy of a laboratory scale, a standard weight that is known to weigh 1.00 gram is…

A: The given data is x 0.932979 0.9985 1.020818 1.040727 1.011207 0.968857 1.027251…